A structured polarization beam with topological index η keeps its sphere and topological signature under a q-plate only when the plate's charge q equals η, a condition the authors use to define separate topological index spaces.
Goldstein, Classical mechanics, Pearson Education India, 2011
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Holonomically constrained polarization transformation
A structured polarization beam with topological index η keeps its sphere and topological signature under a q-plate only when the plate's charge q equals η, a condition the authors use to define separate topological index spaces.